Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 370, 277, 15, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 277, 15, 872 is 1
GCD(370, 277, 15, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 277, 15, 872 is 1
GCD(370, 277, 15, 872) = 1
Given Input numbers are 370, 277, 15, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 370, 277, 15, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 277, 15, 872 is 1.
Therefore, GCD of numbers 370, 277, 15, 872 is 1
Given Input Data is 370, 277, 15, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 277 is 277
Prime Factorization of 15 is 3 x 5
Prime Factorization of 872 is 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(370, 277) = 102490
GCD(370, 277) = ( 370 x 277 ) / 102490
GCD(370, 277) = 102490 / 102490
GCD(370, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 370, 277, 15, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 277, 15, 872?
GCD of 370, 277, 15, 872 is 1
2. Where do I get the detailed procedure to find GCD of 370, 277, 15, 872?
You can find a detailed procedure to find GCD of 370, 277, 15, 872 on our page.
3. How to find GCD of 370, 277, 15, 872 on a calculator?
You can find the GCD of 370, 277, 15, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.